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Wyszukujesz frazę "minimal deformation" wg kryterium: Temat

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    Wyświetlanie 1-4 z 4
    Tytuł:
    Deformation minimal bending of compact manifolds: case of simple closed curves
    Autorzy:
    Bihun, O.
    Chicone, C.
    Powiązania:
    https://bibliotekanauki.pl/articles/255111.pdf
    Data publikacji:
    2008
    Wydawca:
    Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
    Tematy:
    minimal deformation
    distortion minimal
    geometric optimization
    Opis:
    The problem of minimal distortion bending of smooth compact embedded con-nected Riemannian n-manifolds M and N without boundary is made precise by defining a deformation energy functional φ on the set of diffeomorphisms Diff (M, N). We derive the Euler-Lagrange equation for φ and determine smooth minimizers of φ in case M and N are simple closed curves.
    Źródło:
    Opuscula Mathematica; 2008, 28, 1; 19-28
    1232-9274
    2300-6919
    Pojawia się w:
    Opuscula Mathematica
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Measurement point density and measurement methods in determining the geometric imperfections of shell surfaces
    Autorzy:
    Kocierz, R.
    Rębisz, M.
    Ortyl, Ł.
    Powiązania:
    https://bibliotekanauki.pl/articles/106883.pdf
    Data publikacji:
    2018
    Wydawca:
    Politechnika Warszawska. Wydział Geodezji i Kartografii
    Tematy:
    cooling towers
    geometrical imperfection
    minimal point density
    deformation
    wieże chłodnicze
    niedoskonałość geometryczna
    gęstość punktów
    odkształcenie
    Opis:
    In geodetic measurements of deformations in shell cooling towers, an important factor is to optimize the number of points representing the exterior surface of the shell. The conducted analyses of damage to such structures proved that cooling towers exhibited shell deformation consisting of irregular vertical waves (three concavities and two convexities), as well as seven horizontal waves. On this basis, it is claimed that, in accordance with the Shannon theorem, the correct representation of the generated waves requires the measurement of the cooling tower shell in a minimum of 12 vertical and 14 horizontal sections. Such density of the points may not be sufficient to represent local imperfections of the shell. The article presents the results of test measurements and their analysis, which were conducted to verify the assumptions as to the optimal number of measurement points for the shell of a cooling tower. The evaluation was based on a comparative analysis of the data obtained by the Terrestrial Laser Scanning (TLS) method, creating a very detailed model of geometric imperfections in an actual cooling tower with a height of 100 m. Based on the data obtained by the TLS method, point grids of various density were generated. An additional measurement of the cooling tower shell deformation was performed using a precise electronic total station with reflectorless measurement option. Therefore, it was possible to assess the accuracy of measurements by laser scanning in relation to measurements obtained by reflectorless total stations.
    Źródło:
    Reports on Geodesy and Geoinformatics; 2018, 105; 19-28
    2391-8365
    2391-8152
    Pojawia się w:
    Reports on Geodesy and Geoinformatics
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Mechanics of infinitesimal gyroscopes on helicoid-catenoid deformation family of minimal surfaces
    Autorzy:
    Kovalchuk, Vasyl
    Gołubowska, Barbara
    Mladenov, Ivaïlo M.
    Powiązania:
    https://bibliotekanauki.pl/articles/2128134.pdf
    Data publikacji:
    2021
    Wydawca:
    Polska Akademia Nauk. Czytelnia Czasopism PAN
    Tematy:
    action-angle analysis
    mechanics of infinitesimal gyroscopes
    geodesic equations of motion
    geodetic equations of motion
    helicoid-catenoid deformation family of minimal surfaces
    elliptic integrals
    elliptic functions
    analiza kąta działania
    mechanika nieskończenie małych żyroskopów
    równanie ruchu geodezyjne
    całki eliptyczne
    funkcje eliptyczne
    rodzina deformacji helikoidów minimalnych powierzchni
    rodzina deformacji katenoidów minimalnych powierzchni
    Opis:
    In this paper we explore the mechanics of infinitesimal gyroscopes (test bodies with internal degrees of freedom) moving on an arbitrary member of the helicoid-catenoid family of minimal surfaces. As the configurational spaces within this family are far from being trivial manifolds, the problem of finding the geodesic and geodetic motions presents a real challenge. We have succeeded in finding the solutions to those motions in an explicit parametric form. It is shown that in both cases the solutions can be expressed through the elliptic integrals and elliptic functions, but in the geodetic case some appropriately chosen compatibility conditions for glueing together different branches of the solution are needed. Additionally, an action-angle analysis of the corresponding Hamilton-Jacobi equations is performed for external potentials that are well-suited to the geometry of the problem under consideration. As a result, five different sets of conditions between the three action variables and the total energy of the infinitesimal gyroscopes are obtained.
    Źródło:
    Bulletin of the Polish Academy of Sciences. Technical Sciences; 2021, 69, 2; e136727, 1--10
    0239-7528
    Pojawia się w:
    Bulletin of the Polish Academy of Sciences. Technical Sciences
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Mechanics of infinitesimal gyroscopes on helicoid-catenoid deformation family of minimal surfaces
    Autorzy:
    Kovalchuk, Vasyl
    Gołubowska, Barbara
    Mladenov, Ivaïlo M.
    Powiązania:
    https://bibliotekanauki.pl/articles/2173588.pdf
    Data publikacji:
    2021
    Wydawca:
    Polska Akademia Nauk. Czytelnia Czasopism PAN
    Tematy:
    action-angle analysis
    mechanics of infinitesimal gyroscopes
    geodesic equations of motion
    geodetic equations of motion
    helicoid-catenoid deformation family of minimal surfaces
    elliptic integrals
    elliptic functions
    analiza kąta działania
    mechanika nieskończenie małych żyroskopów
    równanie ruchu geodezyjne
    całki eliptyczne
    funkcje eliptyczne
    rodzina deformacji helikoidów minimalnych powierzchni
    rodzina deformacji katenoidów minimalnych powierzchni
    Opis:
    In this paper we explore the mechanics of infinitesimal gyroscopes (test bodies with internal degrees of freedom) moving on an arbitrary member of the helicoid-catenoid family of minimal surfaces. As the configurational spaces within this family are far from being trivial manifolds, the problem of finding the geodesic and geodetic motions presents a real challenge. We have succeeded in finding the solutions to those motions in an explicit parametric form. It is shown that in both cases the solutions can be expressed through the elliptic integrals and elliptic functions, but in the geodetic case some appropriately chosen compatibility conditions for glueing together different branches of the solution are needed. Additionally, an action-angle analysis of the corresponding Hamilton-Jacobi equations is performed for external potentials that are well-suited to the geometry of the problem under consideration. As a result, five different sets of conditions between the three action variables and the total energy of the infinitesimal gyroscopes are obtained.
    Źródło:
    Bulletin of the Polish Academy of Sciences. Technical Sciences; 2021, 69, 2; art. no. e136727
    0239-7528
    Pojawia się w:
    Bulletin of the Polish Academy of Sciences. Technical Sciences
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
      Wyświetlanie 1-4 z 4

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